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25 April 2024

» arxiv » 2007.11964

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Sign-curing local Hamiltonians: termwise versus global stoquasticity and the use of Clifford transformations
Marios Ioannou ; Stephen Piddock ; Milad Marvian ; Joel Klassen ; Barbara M. Terhal ;
Date:	23 Jul 2020
Abstract:	We elucidate the distinction between global and termwise stoquasticity for local Hamiltonians and prove several complexity results. We prove coNP-hardness of deciding global stoquasticity in a fixed basis and $Sigma_2^p$-hardness of deciding global stoquasticity under single-qubit transformations. We expand the class of sign-curing transformations by showing how Clifford transformations can sign-cure a class of disordered 1D XYZ Hamiltonians.
Source:	arXiv, 2007.11964
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